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Finding the Fourth Proportional to 201,769,206.80, 302,706,954.30 and 72,363,323.30

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Solution

The fourth proportional to 201,769,206.80, 302,706,954.30 and 72,363,323.30 is: 108,564,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769,206.80 : 302,706,954.30 = 72,363,323.30 : x
  2. Step 2: Convert to fraction form
    201,769,206.80/302,706,954.30 = 72,363,323.30/x
  3. Step 3: Cross multiply
    201,769,206.80x = 302,706,954.30 × 72,363,323.30
  4. Step 4: Simplify right side
    201,769,206.80x = 21,904,881,199,169,224
  5. Step 5: Solve for x
    x = 21,904,881,199,169,224/201,769,206.80
  6. Step 6: Final answer
    x = 108,564,044.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.